Buy BOOKS at Discounted Price

Discount And Commission

Class 8th Mathematics (old) MHB Solution

Exercise 70
Question 1.

Fill in the blanks.

(1) A ratio with denominator ………….. is called a percentage.

(2) = ………. Percent = ……………. %

(3) 64 percent

(4) 95%

(5) 5 percent of 400 = 400 × …… = ……

(6) 20% of 25000 = …… × …….. = …….


Answer:

(1) A fraction or ratio with denominator hundred is called a percentage


Answer: 100


(2)


Answer: 15,15


(3) 64 percent


Answer:


(4) 95 percent


Answer:


(5) 5 Percent of 400


Answer :


(6)20 % of 25000


Answer :



Question 2.

Find the values.

(1) 2 p.c. of 3000

(2) 3% of 100

(3) 6% of 11450

(4) 60% of 1610


Answer:

(1) 2 p.c. of 3000


⇒ 2 p.c. of 3000 = 60


(2) 3% of 100


⇒ 3 % of 100 = 3


(3) 6% of 11450


⇒ 6 % of 11450 = 687


(4) 60% of 1610


⇒ 60% of 1610 = 966




Exercise 71
Question 1.

The marked price of a floor spread is Rs 650. If the shopkeeper gives a discount of 8 p.c., what is its selling price?


Answer:

Marked price = Rs 650


Rate of discount = 8%


Discount


⇒ Discount


⇒ Discount = Rs 52


Selling Price = (Marked Price –Discount) = Rs 598



Question 2.

A shopkeeper gives a 12% discount on the marked price of a TV set. If a set is sold for Rs 7480, what was its marked price?


Answer:

Selling price = Rs 7480


Rate of discount = 12%


Let Marked price be x



⇒ x -0.12x = 7480


⇒ 0.88x = 7480


⇒x = Rs. 8500


Marked Price is Rs. 8500



Question 3.

The marked price of a scooter is Rs 47,500. If the selling price is Rs 43,700, what is the percentage of the discount given by the shopkeeper?


Answer:

Marked Price = Rs 47,500


Selling Price = Rs 43,700


Discount = ( Marked Price - Selling Price) = Rs 3800


Rate of Discount


⇒ Rate of Discount


⇒ Rate of Discount = 8%



Question 4.

A shopkeeper gives an 8% discount on the marked price of a camera. He sold a camera for Rs 460. What was its marked price?


Answer:

Selling price = Rs 460


Rate of discount = 8%


Let Marked price be x



⇒ x -0.08x = 460


⇒ 0.92x = 460


⇒ x = Rs. 500


Marked Price is Rs. 500



Question 5.

In the following table, from the information given in each example, find out the figures to fill in the blanks.



Answer:

(1) Marked price of watch = Rs 250


Rate of discount = 12%


Discount


⇒ Discount


⇒ Discount = Rs 30


Selling Price of watch = (Marked Price –Discount) = Rs 220


(2) Marked price of cupboard = Rs 4800


Rate of discount = 6%


Discount


⇒ Discount


⇒ Discount = Rs 288


Selling Price of cupboard = (Marked Price –Discount) = Rs 4512


(3) Marked Price of bicycle = Rs 1800


Discount = Rs 180


Selling Price of bicycle = (Marked Price – Discount) = Rs 1620


Rate of Discount


⇒ Rate of Discount


⇒ Rate of Discount = 10%


(4) Selling price of uniform = Rs 136


Rate of discount = 15%


Let Marked price be x



⇒ x -0.15x = 136


⇒ 0.85x = 136


⇒ x = Rs. 160


Marked Price of uniform is Rs. 160


Discount = ( Marked Price- Selling price) = Rs 24


(5) Marked Price of books = Rs 1560


Discount = Rs 234


Selling Price of books = (Marked Price – Discount) = Rs 1326


Rate of Discount


⇒ Rate of Discount


⇒ Rate of Discount = 15%




Exercise 72
Question 1.

Sharadadevi sold a buffalo through an agent. Its price was Rs 63,500. She had to pay a commission of 3%. How much money did Sharadadevi get for the buffalo?


Answer:

Selling price = Rs 63,500


Rate of commission = 3%


Commission


⇒ Commission = Rs 1905


Amount received = (Selling price- Commission) = Rs 61,595



Question 2.

Vishwasrao bought a plot of land worth Rs 2,50,000 through an estate agent. If the commission was paid at 2.5%, how much did he pay the estate agent?


Answer:

Selling price = Rs 2,50,000


Rate of commission = 2.5%


Commission


⇒ Commission = Rs 6250



Question 3.

When Patel bought some farm implements priced at Rs 6,500 through an agent for Rs 6,630, what was the commission he paid to the agent? What as its rate percent?


Answer:

Selling Price = Rs 6500


Amount paid to agent = Rs 6630


Commission = (Amount paid to agent- Selling Price) = Rs 130


Rate of commission


⇒ Rate of commission


⇒ Rate of commission = 2%



Question 4.

Bhujangrao bought a jeep through an agent. Including the commission, he paid Rs 3,03,000 for it. If the commission was paid at 1%, find the original price of the jeep.


Answer:

Let original price be x


Amount paid = Rs 3,03,000


Rate of commission = 1%



⇒ 1.01x = 303000


⇒ x = 300000


Original Price is Rs 3,00,000



Question 5.

When Nikita sold her old two-wheeler through an agent, she got Rs 17,150 for it after paying the agent. If the commission was paid at 2%, find the selling price of the vehicle.


Answer:

Amount received = Rs 17,500


Rate of commission = 2%


Let selling price be x



⇒ 0.98x = 17150


⇒ x = 17500


Selling Price is Rs 17,500




Exercise 73
Question 1.

A dealer sold tea worth Rs 22,500 for a tea company. If he got a commission at the rate of 18%, how much was his actual commission?


Answer:

Selling price = Rs 22,500


Rate of commission = 18%


Actual Commission


⇒ Actual Commission


⇒ Actual Commission = Rs 4050



Question 2.

A dealer sold 24 rolls of cloth, each worth Rs 1350. What commission did he get at the rate of 10%?


Answer:

No. of rolls of cloth = 24


Cost of each roll = Rs 1350


Total cost = ( No. of rolls of cloth × Cost of each roll) = Rs 32,400


Rate of commission = 10%


Commission


⇒ Commission = Rs 3240



Question 3.

Use the given information and write the proper figures in the blank spaces.



Answer:

(1) No. of bundles of fenugreek = 500


Rate per hundred = Rs 400


Total value = ( No. of bundles of fenugreek× Rate per hundred) = Rs 2000


Rate of commission = 2%


Commission


⇒ Commission = Rs 40


Amount received by farmer = ( Total value- Commission) = Rs 1960


(2) No. of Grape cartons = 120


Rate per cartons = Rs 70


Total value = ( No. of Grape cartons × Rate per cartons) = Rs 8400


Rate of commission = 3%


Commission


⇒ Commission = Rs 252


Amount received by farmer = ( Total value- Commission) = Rs 8148


(3) No. of quintals of onion = 21


Rate per quintal = Rs 180


Total value = ( No. of quintals of onion × Rate per quintal) = Rs 3780


Rate of commission = 2.5%


Commission


⇒ Commission = Rs 94.5


Amount received by farmer = ( Total value- Commission) = Rs 3685.50


(4) No. of quintals of wheat = 21


Rate per quintal = Rs 850


Total value = ( No. of quintals of wheat × Rate per quintal) = Rs 25,500


Rate of commission = 1.5%


Commission


⇒ Commission = Rs 382.50


Amount received by farmer = ( Total value- Commission) = Rs 15,117.50


(5) No. of quintals of pomegranate = 16


Rate per quintal = Rs 1450


Total value = ( No. of quintals of pomegranate × Rate per quintal) = Rs 23,200


Rate of commission = 4%


Commission


⇒ Commission = Rs 928


Amount received by farmer = ( Total value- Commission) = Rs 22,272